Weighted Bergman spaces and the $\bar{\partial }-$equation

Bo-Yong Chen

We give a Hörmander type $L^2-$estimate for the $\bar{\partial }-$equation with respect to the measure ${\delta }_{\Omega }^{-\alpha }dV$, $\alpha <1$, on any bounded pseudoconvex domain with $C^2-$boundary. S…